Differentiation bases for Sobolev functions on metric spaces.
Petteri Harjulehto, Juha Kinnunen (2004)
Publicacions Matemàtiques
Similarity:
We study Lebesgue points for Sobolev functions over other collections of sets than balls. Our main result gives several conditions for a differentiation basis, which characterize the existence of Lebesgue points outside a set of capacity zero.